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The Sound Of Many Funds Rebalancing

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  • Fos, Vyacheslav
  • Chinco, Alex

Abstract

This paper proposes that computational complexity generates noise. In modern financial markets, it is common to find the same asset held for completely different reasons by funds following a wide variety of threshold-based trading rules. Under these conditions, we show that it can be computationally infeasible to predict how these various trading rules will interact with one another. Formally, we prove that it is NP hard to predict the sign of the net demand coming from a large interacting mass of funds at a rate better than chance. Thus, market participants will treat these demand shocks as random noise even if they are fully rational. This noise-generating mechanism can produce noise in a wide range of markets and also predicts how noise will vary across assets. We verify this prediction empirically using data on the exchange-traded fund (ETF) market.

Suggested Citation

  • Fos, Vyacheslav & Chinco, Alex, 2019. "The Sound Of Many Funds Rebalancing," CEPR Discussion Papers 13561, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:13561
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    as
    1. Greenwood, Robin & Thesmar, David, 2011. "Stock price fragility," Journal of Financial Economics, Elsevier, vol. 102(3), pages 471-490.
    2. Dimitri Vayanos & Paul Woolley, 2013. "An Institutional Theory of Momentum and Reversal," The Review of Financial Studies, Society for Financial Studies, vol. 26(5), pages 1087-1145.
    3. B. Douglas Bernheim, 2009. "Behavioral Welfare Economics," Journal of the European Economic Association, MIT Press, vol. 7(2-3), pages 267-319, 04-05.
    4. Scheinkman, Jose A & LeBaron, Blake, 1989. "Nonlinear Dynamics and Stock Returns," The Journal of Business, University of Chicago Press, vol. 62(3), pages 311-337, July.
    5. Baumol, William J & Benhabib, Jess, 1989. "Chaos: Significance, Mechanism, and Economic Applications," Journal of Economic Perspectives, American Economic Association, vol. 3(1), pages 77-105, Winter.
    6. Xavier Gabaix, 2014. "A Sparsity-Based Model of Bounded Rationality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(4), pages 1661-1710.
    7. Robert J. Shiller, 1984. "Stock Prices and Social Dynamics," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 15(2), pages 457-510.
    8. Shleifer, Andrei & Summers, Lawrence H, 1990. "The Noise Trader Approach to Finance," Journal of Economic Perspectives, American Economic Association, vol. 4(2), pages 19-33, Spring.
    9. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    10. Christian Hellwig & Laura Veldkamp, 2009. "Knowing What Others Know: Coordination Motives in Information Acquisition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(1), pages 223-251.
    11. Yen-Cheng Chang & Harrison Hong & Inessa Liskovich, 2015. "Regression Discontinuity and the Price Effects of Stock Market Indexing," The Review of Financial Studies, Society for Financial Studies, vol. 28(1), pages 212-246.
    12. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 24(Win), pages 14-23.
    13. Stefano DellaVigna, 2009. "Psychology and Economics: Evidence from the Field," Journal of Economic Literature, American Economic Association, vol. 47(2), pages 315-372, June.
    14. Nicola Gennaioli & Andrei Shleifer, 2010. "What Comes to Mind," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(4), pages 1399-1433.
    15. Hellwig, Martin F., 1980. "On the aggregation of information in competitive markets," Journal of Economic Theory, Elsevier, vol. 22(3), pages 477-498, June.
    16. B. Douglas Bernheim & Antonio Rangel, 2009. "Beyond Revealed Preference: Choice-Theoretic Foundations for Behavioral Welfare Economics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(1), pages 51-104.
    17. Milgrom, Paul & Stokey, Nancy, 1982. "Information, trade and common knowledge," Journal of Economic Theory, Elsevier, vol. 26(1), pages 17-27, February.
    18. Madhavan, Ananth N., 2016. "Exchange-Traded Funds and the New Dynamics of Investing," OUP Catalogue, Oxford University Press, number 9780190279394.
    19. De Long, J Bradford & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1990. "Noise Trader Risk in Financial Markets," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 703-738, August.
    20. Bessembinder, Hendrik & Carrion, Allen & Tuttle, Laura & Venkataraman, Kumar, 2016. "Liquidity, resiliency and market quality around predictable trades: Theory and evidence," Journal of Financial Economics, Elsevier, vol. 121(1), pages 142-166.
    21. Brad M. Barber & Terrance Odean, 2000. "Trading Is Hazardous to Your Wealth: The Common Stock Investment Performance of Individual Investors," Journal of Finance, American Finance Association, vol. 55(2), pages 773-806, April.
    22. Glosten, Lawrence R. & Milgrom, Paul R., 1985. "Bid, ask and transaction prices in a specialist market with heterogeneously informed traders," Journal of Financial Economics, Elsevier, vol. 14(1), pages 71-100, March.
    23. Qing Bai & Shaun A. Bond & Brian Hatch, 2015. "The Impact of Leveraged and Inverse ETFs on Underlying Real Estate Returns," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 43(1), pages 37-66, March.
    24. Eric Budish, 2011. "The Combinatorial Assignment Problem: Approximate Competitive Equilibrium from Equal Incomes," Journal of Political Economy, University of Chicago Press, vol. 119(6), pages 1061-1103.
    25. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, vol. 65(5), pages 1059-1096, September.
    26. Gregor Andrade & Mark Mitchell & Erik Stafford, 2001. "New Evidence and Perspectives on Mergers," Journal of Economic Perspectives, American Economic Association, vol. 15(2), pages 103-120, Spring.
    27. Murray Frank & Thanasis Stengos, 1989. "Measuring the Strangeness of Gold and Silver Rates of Return," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 553-567.
    28. Shleifer, Andrei & Vishny, Robert W, 1997. "The Limits of Arbitrage," Journal of Finance, American Finance Association, vol. 52(1), pages 35-55, March.
    29. Doron Israeli & Charles M. C. Lee & Suhas A. Sridharan, 2017. "Is there a dark side to exchange traded funds? An information perspective," Review of Accounting Studies, Springer, vol. 22(3), pages 1048-1083, September.
    30. Grossman, Sanford J, 1976. "On the Efficiency of Competitive Stock Markets Where Trades Have Diverse Information," Journal of Finance, American Finance Association, vol. 31(2), pages 573-585, May.
    31. Dow, James & Gorton, Gary, 1997. "Noise Trading, Delegated Portfolio Management, and Economic Welfare," Journal of Political Economy, University of Chicago Press, vol. 105(5), pages 1024-1050, October.
    32. Verrecchia, Robert E, 1982. "Information Acquisition in a Noisy Rational Expectations Economy," Econometrica, Econometric Society, vol. 50(6), pages 1415-1430, November.
    33. William A. Brock & Cars H. Hommes, 2001. "A Rational Route to Randomness," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 16, pages 402-438, Edward Elgar Publishing.
    34. Amihud, Yakov, 2002. "Illiquidity and stock returns: cross-section and time-series effects," Journal of Financial Markets, Elsevier, vol. 5(1), pages 31-56, January.
    35. Hsieh, David A, 1991. "Chaos and Nonlinear Dynamics: Application to Financial Markets," Journal of Finance, American Finance Association, vol. 46(5), pages 1839-1877, December.
    36. J. Barkley Rosser, 1999. "On the Complexities of Complex Economic Dynamics," Journal of Economic Perspectives, American Economic Association, vol. 13(4), pages 169-192, Fall.
    37. Ivanov, Ivan T. & Lenkey, Stephen L., 2018. "Do leveraged ETFs really amplify late-day returns and volatility?," Journal of Financial Markets, Elsevier, vol. 41(C), pages 36-56.
    38. Sims, Christopher A., 2003. "Implications of rational inattention," Journal of Monetary Economics, Elsevier, vol. 50(3), pages 665-690, April.
    39. Kyle, Albert S, 1985. "Continuous Auctions and Insider Trading," Econometrica, Econometric Society, vol. 53(6), pages 1315-1335, November.
    40. Shleifer, Andrei, 1986. "Do Demand Curves for Stocks Slope Down?," Journal of Finance, American Finance Association, vol. 41(3), pages 579-590, July.
    41. Denis Gromb & Dimitri Vayanos, 2010. "Limits of Arbitrage," Annual Review of Financial Economics, Annual Reviews, vol. 2(1), pages 251-275, December.
    42. Sendhil Mullainathan, 2002. "A Memory-Based Model of Bounded Rationality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 735-774.
    43. Admati, Anat R, 1985. "A Noisy Rational Expectations Equilibrium for Multi-asset Securities Markets," Econometrica, Econometric Society, vol. 53(3), pages 629-657, May.
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    Cited by:

    1. Buss, Adrian & Sundaresan, Savitar, 2020. "More Risk, More Information: How Passive Ownership Can Improve Informational Efficiency," CEPR Discussion Papers 14843, C.E.P.R. Discussion Papers.
    2. Hurlin, Christophe & Iseli, Grégoire & Pérignon, Christophe & Yeung, Stanley, 2019. "The counterparty risk exposure of ETF investors," Journal of Banking & Finance, Elsevier, vol. 102(C), pages 215-230.

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    More about this item

    Keywords

    Noise; Thresholds; Complexity; Indexing;
    All these keywords.

    JEL classification:

    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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